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# M07-25

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Math Expert
Joined: 02 Sep 2009
Posts: 61385

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15 Sep 2014, 23:35
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15% (low)

Question Stats:

79% (01:49) correct 21% (01:56) wrong based on 154 sessions

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In March, 25 percent of a certain company's 80 customers were females, and in April, 40 percent of its 160 customers were males. What is the percent increase from March to April in the number of female customers of the company?

A. 38%
B. 68.75%
C. 79.17%
D. 220%
E. 380%

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Math Expert
Joined: 02 Sep 2009
Posts: 61385

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15 Sep 2014, 23:35
Official Solution:

In March, 25 percent of a certain company's 80 customers were females, and in April, 40 percent of its 160 customers were males. What is the percent increase from March to April in the number of female customers of the company?

A. 38%
B. 68.75%
C. 79.17%
D. 220%
E. 380%

In March, the company had $$0.25*80=20$$ female customers: $$0.25*80=20$$;

In April, the company had $$(1-0.4)*160=96$$ female customers;

General formula for percent increase or decrease, (percent change): $$\text{percent}=\frac{\text{Change}}{\text{Original}}*100$$, so $$\text{percent}=\frac{96-20}{20}*100=380%$$

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Intern
Joined: 27 Jul 2017
Posts: 45

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17 Mar 2018, 04:26
Female customers in the month of March, 0.25*80 = 20.

Female customers in the month of April, 60% of 160 customers = 0.6*160 = 96.

% increase = (increase/original)*100 = (96-20/20)*100 = (76/20)*100 = 380%.

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Ujjwal
Sharing is Gaining!
Intern
Joined: 10 Mar 2015
Posts: 5

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14 Sep 2019, 22:55
Bunuel wrote:
Official Solution:

In March, 25 percent of a certain company's 80 customers were females, and in April, 40 percent of its 160 customers were males. What is the percent increase from March to April in the number of female customers of the company?

A. 38%
B. 68.75%
C. 79.17%
D. 220%
E. 380%

In March, the company had $$0.25*80=20$$ female customers: $$0.25*80=20$$;

In April, the company had $$(1-0.4)*160=96$$ female customers;

General formula for percent increase or decrease, (percent change): $$\text{percent}=\frac{\text{Change}}{\text{Original}}*100$$, so $$\text{percent}=\frac{96-20}{20}*100=380%$$

Hey Brunel,

I have a silly question - if the total number of customers increase - while figuring percent increase, why aren't we making the base same?
Senior Manager
Joined: 16 May 2019
Posts: 325

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25 Nov 2019, 15:53
Bunuel wrote:
In March, 25 percent of a certain company's 80 customers were females, and in April, 40 percent of its 160 customers were males. What is the percent increase from March to April in the number of female customers of the company?

A. 38%
B. 68.75%
C. 79.17%
D. 220%
E. 380%

Another approach: It can be useful to learn how to be flexible with percent questions. In this case, 25 percent of 80 can be thought of as one-fourth of 80, or 20, easily enough. Then, rather than take something like 0.6 * 160 to get the female customers in April, you can work with 10 percent and multiply the result. 10 percent of any number is that number with the decimal pushed one place to the left. Thus, 10 percent of 160 is 16.0, or just 16. 60 percent can be thought of as six 10 percents, or 6 * (16): 96. Using 20 as the basis for comparison, measuring the growth from 20 to 96 does not require anything more than a cursory glance at the answer choices. Why? Because 100 percent of 20 is 20, and 100 percent more than 20 would thus be 20 + 20, or 40, not even close to the target of 96. Eliminate choices (A) through (C).

If a 100-percent increase is 20 and gets us to 40, then
another 100-percent increase will add 20 more and get us to 60, still too low, and
another 100-percent increase will add 20 more and get us to 80, still too low

You can therefore eliminate choice (D), since a 300-percent increase still leaves us 16 short of 96, which means that only (E) can be the answer. If we were to go up another 100 percent, we would get 80 + 20, or 100, slightly above the target. Nothing else is even close. This is a good question on which to practice breaking down numbers by 10 percent. It is quick and easy, and ball-parking the answer and knowing you are right should not be discounted as a test-taking strategy.

- Andrew
M07-25   [#permalink] 25 Nov 2019, 15:53
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# M07-25

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